What is the Least Common Multiple of 99942 and 99960?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 99942 and 99960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99942 and 99960, than apply into the LCM equation.

GCF(99942,99960) = 6
LCM(99942,99960) = ( 99942 × 99960) / 6
LCM(99942,99960) = 9990202320 / 6
LCM(99942,99960) = 1665033720

Least Common Multiple (LCM) of 99942 and 99960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99942 and 99960. First we will calculate the prime factors of 99942 and 99960.

Prime Factorization of 99942

Prime Factorization of 99960

Now multiplying the highest exponent prime factors to calculate the LCM of 99942 and 99960.

LCM(99942,99960) = 2³ × 3¹ × 16657¹ × 5¹ × 7² × 17¹
LCM(99942,99960) = 1665033720